What is the signed magnitude c of the projection p correct choice above, find a number...
Recall from linear algebra the definition of the projection of one vector onto another. As before, we have 3-dimensional vectors = a2 a3 and (2) -a2 - a3 What is the signed magnitude c of the projection pf)-r2) of x1) onto a(2)? More precisely, let u be the unit vector in the direction of the correct choice above, find a number c such that pri)-g(2) == CU. Express your answer in terms of a 1 for a1, a_2 for a2,...
5.4. Find the matrix of the orthogonal projection in R2 onto the line x1 = –2x2. Hint: What is the matrix of the projection onto the coordinate axis x1? Problem 5. Problem 5.4 on page 23. The following method is suggested: (1) Find an angle o such that the line x1 = –2x2 is obtained by rotating the x-axis by 0. (2) Convince yourself with geometry that to project a vector v onto the line x1 = –2x2 is the...
how to do number 16 16) (6pts) Find the projection of ü onto w. a) Find ui --Son 347 2 25 26 b) Find 펄 orthogonal to in such that iiitül ü 2 Page Score Check ( 13 For problems on this page, use the vectors described graphically here. Your work should include correct vector notation of u, i,and w 13) What is (w+u) v E xplat 3 U=(2、1) w (3, .. 4) 14) Find the cxact magnitudes of i,...
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates of a system don't have components over the coordinates, we determine that they are D. Rectangular A. Orthogonal C. Inclusive 7. A vector V1 (x=4, y-6, z-8), which is the magnitude of the projection on the YZ plane A) 10 X 1 V 1 B) 8.5 C 13...
Part A - Calculating the magnitude of a vector from its components What is the magnitude of FF? Express your answer to three significant figures and include the appropriate units. Part B - Components of a vector Determine the components of PP in the ii, jj, and kk directions. Express your answers, separated by commas, to three significant figures. Part C - Finding Cartesian components from right triangles What are the Cartesian components of force TT? Express your answers, separated...
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
Part A Review For the three vectors shown in (Figure 1), AB+C-1j. What is vector B? Write B in component form. Express your answer in terms of the unit vectors i and j. Use the 'unit vector' button to denote unit vectors in your answer 0四 Subnit Part B What is the magnitude of B? Express yo ur answer using two significant figures. Figure 1 of 1> Submit Part C What is the direction angle of B measured clockwise from...
Need help with these and these only Exercise 1.24 Correct Part C Fnd the magnitude of he vector diference A B Express your answer using two significant figures. Submit Previous Answers Request Answer X Incorrect: Try Again; 4 attempts remaining Part D Find the direction of the vector difference A-B Express your answer using three significant figures 1マ e counterciockwise from +z-axis Submit Previous Answers Request Answer Figure </ 1of1 ) X Incorrect; Try Again; 5 attempts remaining (15.0 m)...
Q.5: Which statement(s) are correct? a) The unit spatial vectors i and j are exactly the same as the imaginary numbers i orj in complex number theory b) There are certain similarities in that i (orj) is a vector-like quantity and some references even define complex numbers as vectors in two dimensions. c) There are some significant differences in their meaning and the corresponding mathematical operations Q.6: Which statement(s) are correct with respect to an arbitrary vector A illustrated in...
please answer all qustion on expination needed 1 Find a vector of magnitude 3 in the direction of v=5 i - 12 k The vector is i+i+k (Simplify your answer. Use integers or fractions for any numbers in the expression) 2 Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations x2 + y2 +(2+152 = 169, z= - 3 Choose the correct description O A. The line through (5,0. -...